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Finding the Third Proportional to 184,872 and 378,506

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Solution

The third proportional to 184,872 and 378,506 is: 774,951.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,872 : 378,506 = 378,506 : x
  2. Step 2: Convert to fraction form
    184,872/378,506 = 378,506/x
  3. Step 3: Cross multiply
    184,872x = 378,506 × 378,506
  4. Step 4: Simplify right side
    184,872x = 143,266,792,036
  5. Step 5: Solve for x
    x = 143,266,792,036/184,872
  6. Step 6: Final answer
    x = 774,951.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.